![integration - Symmetric functions and definite integrals. Having trouble understanding the proof. - Mathematics Stack Exchange integration - Symmetric functions and definite integrals. Having trouble understanding the proof. - Mathematics Stack Exchange](https://i.stack.imgur.com/0UjgP.png)
integration - Symmetric functions and definite integrals. Having trouble understanding the proof. - Mathematics Stack Exchange
![Write the integral as the sum of the integral of an odd function and the integral of an even function. Integral from -3 to 3 of (x^3 + 7x^2 - 3x - Write the integral as the sum of the integral of an odd function and the integral of an even function. Integral from -3 to 3 of (x^3 + 7x^2 - 3x -](https://homework.study.com/cimages/multimages/16/odd2181287537943814008.png)
Write the integral as the sum of the integral of an odd function and the integral of an even function. Integral from -3 to 3 of (x^3 + 7x^2 - 3x -
![Free Solutions for IIT - Chapter Integrals and Subtopic Definite Integration Of Odd And Even Functions || doubtnut Free Solutions for IIT - Chapter Integrals and Subtopic Definite Integration Of Odd And Even Functions || doubtnut](https://d10lpgp6xz60nq.cloudfront.net/q-thumbnail/34148.png)
Free Solutions for IIT - Chapter Integrals and Subtopic Definite Integration Of Odd And Even Functions || doubtnut
![Integration technique: Dummy Variables & Proof: Odd function over symmetric integral is always 0 - YouTube Integration technique: Dummy Variables & Proof: Odd function over symmetric integral is always 0 - YouTube](https://i.ytimg.com/vi/SuW_fChaqIs/maxresdefault.jpg)